For the numerical solution of the inverse problem, we use the method inverse transformation difference schemes [8, 9]. Using Galerkin approximations, you can get a top-down estimate of the existence of the solution.
Пусть выполнены условия
SOLUBILITY OF THE INITIAL LIMIT PROBLEM FOR THE QUASILINEAR Equation Of Thermic Conductivity IN DOMAINS THAT CAN BE TRANSFORMED INTO RECTANGULAR. The theory of nonlinear problems is an actively developing part of the theory of modern differential equations.
На отрезке [0,1] рассмотрим краевую задачу (8)-(10), где
Introduction
In the last 25-30 years, the theory of differential equations and boundary value problems on geometric graphs (spatial networks) has been intensively developed, as evidenced by numerous scientific papers. Consider a star-shaped graph Gwith edges ej,j1, ,m of equal length . For each edge ej enter the parameter xj[0,. The value xj 0 corresponds to the boundary vertex associated with ej, and xj corresponds to the internal vertex.
In electrical networks, they express Kirchhoff's law (see [10]), with fluctuations in elastic networks - voltage balance, etc.
The Green's function of the Dirichlet problem We give some intervening results
The solution of the Dirichlet problem (4) - (5) can be represented in the form
The Green's function of the Dirichlet problem (4) - (5) has the form
11 Lumer G. (1980) Linking local operators and evolution equations on a network. 1985) Some results on spectral theory in networks applied to nerve impulse transmission. The authors describe the implementation of the principles of didactics with teaching aids and their functions in the teaching of mathematics in modern secondary schools. The article describes a method for representing the cross-section of spatial figures (tetrahedron, prism) in geometry with the Geogebra program.
In a geometry lesson, teachers have a great opportunity to use Geogebra elements to show that they can easily find the cross section of shapes in space. Analysis of the questionnaire shows that after using the elements of this program in class, students started. Therefore, the diameter of figures in space can be made more efficient by using the GeoGebra program.
Кіріспе
Әдістеме
ASYMPTOTIC PROPERTIES OF THE GENERAL SOLUTION OF THE NONLINEAR PROBLEM FOR THE PSEUDOPARABOLIC EQUATION WITH P,q-LAPLACIAN STRUCTURE. A comparison of the physical characteristics of water and weak aqueous solutions of polymers showed that at almost the same density and viscosity, these liquids differ significantly in their relaxation properties. In recent years, the investigation of solvability and qualitative properties such as the swelling and vanishing of a solution in a finite time, the large time behavior of solving problems in various statements for pseudoparabolic equations has developed rapidly.
This paper is devoted to the study of a mathematical model of the one-dimensional motion of a Kelvin-Voigt fluid with complex rheological properties, which is described by a non-linear pseudo-parabolic equation (Sobolev-type equation) with p-Laplacian. The study of pseudo-parabolic equations was first started by Sobolev in [1] for the linear version. In this work, the asymptotic behavior of solutions of pseudo-parabolic equations at large times is clearly demonstrated, the properties of exponential and power-law decay of a solution.
Есептің қойылымы және кіріспе
For example, experimental studies show that the presence of even small amounts of polymeric substances in a viscous medium can significantly affect the movement of the liquid.
Шешімнің экспоненциалды және дәрежелік кемуі
The results show that improvements in mortality rates have increased the number of years people spend in retirement in Kazakhstan, directly affecting public pension spending. Overall state pension spending in Kazakhstan is expected to increase from 2019 to 2025, reflecting the gradually increasing effect of mortality improvements, but state pension spending's share of GDP is expected to decline from 2021 to 2024. Therefore, it is important for the government and life insurance companies in Kazakhstan to consider their future development process to take their mortality rates.
As a scientific research approach to modeling and forecasting mortality rates in Kazakhstan, the author of the paper uses the Lee-Carter model. 1], but extends it further by estimating the impact of future changes in mortality on state pension expenditures in Kazakhstan. The predicted model can be used to produce life tables for Kazakhstan, which can then be used in state pension planning.
Literature Review
Kazakhstan has had a trend towards a decrease in mortality among the population, as well as a positive trend for life expectancy. This is what is called a longevity risk, that is, the risk that may result in more payouts than expected for pension funds and insurance companies due to the increased lifespan. Predicting and finding further trends in mortality is even more important for life insurance companies, since their solvency or financial strength largely depends on whether they make accurate long-term mortality assumptions in their life tables used to determine insurance premiums and reserves.
In addition, the knowledge of the future mortality profile of the population will provide a government with comprehensive statistical data that will enable a direction for social policies, the provision of services and therefore the size of public spending, with a direct effect on the areas of public health, medicine and social security, among others. 11] in order to investigate the effect of mortality improvements on the cost of annuities from insurance companies. The present paper seeks to contribute to the literature by examining the impact of future mortality changes on the state pension spending in Kazakhstan.
Materials and research methods 1. Data
- Methodology of mortality forecasting
- Assessing the impact of future mortality changes on the state pension spending
Before proceeding further, let's give a brief overview of state pension provisions in Kazakhstan. The basic pension is granted to all individuals upon reaching the normal retirement age (59.5 for women (increased annually by 6 months until reaching 63) and 63 for men from now on and is carried out regardless of previous work experience. Indeed, the number of beneficiaries of the basic pension and solidarity pension is slightly more than the total number of pensioners in 2019 than 2 million people. age or higher at the beginning of the year 2 019.
We will calculate the state pension expenditure in each year by multiplying the estimated number of pension payments in the year by the average monthly pension benefit amount in the relevant year. According to available official statistics, in 2019 the average monthly amounts of the basic pension benefit and the solidary pension benefit were about 27.0 thousand KZT and 57.6 thousand KZT (in local currency), respectively. We define 2019 as the base year and assume that the average real values of the basic monthly pension in the following years will remain constant, while the real average values of the monthly solidarity pension will increase at an annual rate of 2%.
Results and discussion
Comparison of expected AOW pension amounts after settlement of mortality improvements since 2019 and corresponding AOW pension amounts when mortality improvements are disregarded, for the period 2019-2025. As the number of people of normal retirement age and above increases annually, so does the size of public pension expenditure in Kazakhstan, as shown below (Tab. 2 - Comparison of projected government pension expenditure after taking into account mortality improvements since 2019 and the corresponding government pension expenditure when mortality improvements are not taken into account, for the period 2019-2025). Comparison of expected state pension expenditure after taking into account mortality improvements since 2019 and the corresponding state pension expenditure when mortality improvements are excluded, for the period 2019-2025.
Expected government spending on pensions in thousand KZT after taking into account future improvements in mortality, constant prices 2019. Expected spending on government pensions in thousand KZT excluding future improvements in mortality, constant prices 2019. Total government spending on pensions is expected to increase from 2019 to 2025, reflecting the gradually increasing effect of improvements in mortality on additional government spending on pensions.
ФИЗИКА, ФИЗИКАНЫ ОҚЫТУ ӘДІСТЕМЕСІ ФИЗИКА, МЕТОДИКА ПРЕПОДАВАНИЯ ФИЗИКИ
Fluid motion experiments without changing the fluid volume due to elastic deformation
Let's describe the movement of a liquid with constant volume. Let's do some imaginary experiments. Four identical 2 x 2 x 1 particles, three liquid particles and one solid particle of the same shape are placed in the container (Figure 3a). In addition to the visible movement of solid particles, we get the movement of liquid particles.
The solid particle 0 is replaced by a liquid particle with a momentum that differs from the momentum of other particles. If the difference between the moments is large enough, elastic deformation of the particles and topological movement of the fluid occur during the exchange of moments. Experiments on the formation of vortices during the expansion of a liquid that has received additional kinetic energy.
Experiments of the formation of vortices during expansion of a fluid that has received additional kinetic energy
The weakening of the vortex will occur due to energy dissipation with the environment. If it is not relational, the orbits of the test body can be described via Hill surfaces. The strategy of the state education development policy requires a transition to digitization technologies.
The change in the relative volume of the sample was measured using a transducer that converts linear translational motion into electrical pulses. As you can see from the result, for the first time, the dependence of pressure and temperature K(P), K(T) of the partial derivatives(𝜕𝐾 . 𝜕𝑇). Using the experimentally measured values of the change in the relative volume of the test sample, the graphs𝑉(𝑇)𝑃, 𝑉(𝑃)𝑇 differentiate the temperature dependence 𝛽 = 1.
After that, the annealed rods were pre-weighed and then placed in the reactor of the installation. A scientific project on the topic «Research of the radiation spectrum of artificial light sources» is being considered.
ИНФОРМАТИКА. ИНФОРМАТИКАНЫ ОҚЫТУ ӘДІСТЕМЕСІ
БІЛІМ БЕРУДІ АҚПАРАТТАНДЫРУ
In the era of rapid technological development, the issue of information security is very important. The article deals with the issue of information security in computer systems due to simple and fast copying of information through communication channels. The issue of information security covers a wide range of issues, from legislation to concrete technical devices.
The developers of the program suggest the need for technical protective measures that ensure a high level of information security. Therefore, any software must be supplemented with organizational measures that determine the rules for accessing and storing information. This article presents a classification of guarantees and methods of self-defense and methods of protection by requesting additional information.
